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Finding the Fourth Proportional to 4,451.60, 6,669.72 and 3,430.16

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Solution

The fourth proportional to 4,451.60, 6,669.72 and 3,430.16 is: 5,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.60 : 6,669.72 = 3,430.16 : x
  2. Step 2: Convert to fraction form
    4,451.60/6,669.72 = 3,430.16/x
  3. Step 3: Cross multiply
    4,451.60x = 6,669.72 × 3,430.16
  4. Step 4: Simplify right side
    4,451.60x = 22,878,206.76
  5. Step 5: Solve for x
    x = 22,878,206.76/4,451.60
  6. Step 6: Final answer
    x = 5,139.32

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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.