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Finding the Fourth Proportional to 5,066.40, 6,989.04 and 2,970.16

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Solution

The fourth proportional to 5,066.40, 6,989.04 and 2,970.16 is: 4,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.40 : 6,989.04 = 2,970.16 : x
  2. Step 2: Convert to fraction form
    5,066.40/6,989.04 = 2,970.16/x
  3. Step 3: Cross multiply
    5,066.40x = 6,989.04 × 2,970.16
  4. Step 4: Simplify right side
    5,066.40x = 20,758,567.05
  5. Step 5: Solve for x
    x = 20,758,567.05/5,066.40
  6. Step 6: Final answer
    x = 4,097.30

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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.