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Finding the Fourth Proportional to 3,707.66, 5,120.77 and 2,526.68

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Solution

The fourth proportional to 3,707.66, 5,120.77 and 2,526.68 is: 3,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.66 : 5,120.77 = 2,526.68 : x
  2. Step 2: Convert to fraction form
    3,707.66/5,120.77 = 2,526.68/x
  3. Step 3: Cross multiply
    3,707.66x = 5,120.77 × 2,526.68
  4. Step 4: Simplify right side
    3,707.66x = 12,938,547.14
  5. Step 5: Solve for x
    x = 12,938,547.14/3,707.66
  6. Step 6: Final answer
    x = 3,489.68

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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.