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Finding the Fourth Proportional to 5,848.40, 8,737.07 and 4,457.84

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Solution

The fourth proportional to 5,848.40, 8,737.07 and 4,457.84 is: 6,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.40 : 8,737.07 = 4,457.84 : x
  2. Step 2: Convert to fraction form
    5,848.40/8,737.07 = 4,457.84/x
  3. Step 3: Cross multiply
    5,848.40x = 8,737.07 × 4,457.84
  4. Step 4: Simplify right side
    5,848.40x = 38,948,394.15
  5. Step 5: Solve for x
    x = 38,948,394.15/5,848.40
  6. Step 6: Final answer
    x = 6,659.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.