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Finding the Fourth Proportional to 3,529.60, 4,870.47 and 2,113

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Solution

The fourth proportional to 3,529.60, 4,870.47 and 2,113 is: 2,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.60 : 4,870.47 = 2,113 : x
  2. Step 2: Convert to fraction form
    3,529.60/4,870.47 = 2,113/x
  3. Step 3: Cross multiply
    3,529.60x = 4,870.47 × 2,113
  4. Step 4: Simplify right side
    3,529.60x = 10,291,303.11
  5. Step 5: Solve for x
    x = 10,291,303.11/3,529.60
  6. Step 6: Final answer
    x = 2,915.71

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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.