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Finding the Fourth Proportional to 4,547.76, 6,275.35 and 2,868.53

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Solution

The fourth proportional to 4,547.76, 6,275.35 and 2,868.53 is: 3,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.76 : 6,275.35 = 2,868.53 : x
  2. Step 2: Convert to fraction form
    4,547.76/6,275.35 = 2,868.53/x
  3. Step 3: Cross multiply
    4,547.76x = 6,275.35 × 2,868.53
  4. Step 4: Simplify right side
    4,547.76x = 18,001,038.25
  5. Step 5: Solve for x
    x = 18,001,038.25/4,547.76
  6. Step 6: Final answer
    x = 3,958.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.