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Finding the Fourth Proportional to 4,712.02, 6,503.07 and 2,616.16

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Solution

The fourth proportional to 4,712.02, 6,503.07 and 2,616.16 is: 3,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.02 : 6,503.07 = 2,616.16 : x
  2. Step 2: Convert to fraction form
    4,712.02/6,503.07 = 2,616.16/x
  3. Step 3: Cross multiply
    4,712.02x = 6,503.07 × 2,616.16
  4. Step 4: Simplify right side
    4,712.02x = 17,013,071.61
  5. Step 5: Solve for x
    x = 17,013,071.61/4,712.02
  6. Step 6: Final answer
    x = 3,610.57

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