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Finding the Fourth Proportional to 3,717.60, 5,582.80 and 3,602.40

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Solution

The fourth proportional to 3,717.60, 5,582.80 and 3,602.40 is: 5,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.60 : 5,582.80 = 3,602.40 : x
  2. Step 2: Convert to fraction form
    3,717.60/5,582.80 = 3,602.40/x
  3. Step 3: Cross multiply
    3,717.60x = 5,582.80 × 3,602.40
  4. Step 4: Simplify right side
    3,717.60x = 20,111,478.72
  5. Step 5: Solve for x
    x = 20,111,478.72/3,717.60
  6. Step 6: Final answer
    x = 5,409.80

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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.