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Finding the Fourth Proportional to 4,775.60, 7,166.01 and 1,854.02

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Solution

The fourth proportional to 4,775.60, 7,166.01 and 1,854.02 is: 2,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.60 : 7,166.01 = 1,854.02 : x
  2. Step 2: Convert to fraction form
    4,775.60/7,166.01 = 1,854.02/x
  3. Step 3: Cross multiply
    4,775.60x = 7,166.01 × 1,854.02
  4. Step 4: Simplify right side
    4,775.60x = 13,285,925.86
  5. Step 5: Solve for x
    x = 13,285,925.86/4,775.60
  6. Step 6: Final answer
    x = 2,782.04

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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.