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Finding the Fourth Proportional to 5,343.60, 7,374.16 and 2,985.84

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Solution

The fourth proportional to 5,343.60, 7,374.16 and 2,985.84 is: 4,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.60 : 7,374.16 = 2,985.84 : x
  2. Step 2: Convert to fraction form
    5,343.60/7,374.16 = 2,985.84/x
  3. Step 3: Cross multiply
    5,343.60x = 7,374.16 × 2,985.84
  4. Step 4: Simplify right side
    5,343.60x = 22,018,061.89
  5. Step 5: Solve for x
    x = 22,018,061.89/5,343.60
  6. Step 6: Final answer
    x = 4,120.45

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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.