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Finding the Fourth Proportional to 5,106.52, 7,655.16 and 3,547.26

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Solution

The fourth proportional to 5,106.52, 7,655.16 and 3,547.26 is: 5,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.52 : 7,655.16 = 3,547.26 : x
  2. Step 2: Convert to fraction form
    5,106.52/7,655.16 = 3,547.26/x
  3. Step 3: Cross multiply
    5,106.52x = 7,655.16 × 3,547.26
  4. Step 4: Simplify right side
    5,106.52x = 27,154,827.46
  5. Step 5: Solve for x
    x = 27,154,827.46/5,106.52
  6. Step 6: Final answer
    x = 5,317.68

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