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Finding the Fourth Proportional to 4,547.88, 6,822.90 and 2,357.64

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Solution

The fourth proportional to 4,547.88, 6,822.90 and 2,357.64 is: 3,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.88 : 6,822.90 = 2,357.64 : x
  2. Step 2: Convert to fraction form
    4,547.88/6,822.90 = 2,357.64/x
  3. Step 3: Cross multiply
    4,547.88x = 6,822.90 × 2,357.64
  4. Step 4: Simplify right side
    4,547.88x = 16,085,941.96
  5. Step 5: Solve for x
    x = 16,085,941.96/4,547.88
  6. Step 6: Final answer
    x = 3,537.02

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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.