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Finding the Fourth Proportional to 5,931.76, 8,897.76 and 4,547.58

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Solution

The fourth proportional to 5,931.76, 8,897.76 and 4,547.58 is: 6,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.76 : 8,897.76 = 4,547.58 : x
  2. Step 2: Convert to fraction form
    5,931.76/8,897.76 = 4,547.58/x
  3. Step 3: Cross multiply
    5,931.76x = 8,897.76 × 4,547.58
  4. Step 4: Simplify right side
    5,931.76x = 40,463,275.42
  5. Step 5: Solve for x
    x = 40,463,275.42/5,931.76
  6. Step 6: Final answer
    x = 6,821.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.