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Finding the Fourth Proportional to 4,937.16, 7,412.58 and 4,392.84

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Solution

The fourth proportional to 4,937.16, 7,412.58 and 4,392.84 is: 6,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.16 : 7,412.58 = 4,392.84 : x
  2. Step 2: Convert to fraction form
    4,937.16/7,412.58 = 4,392.84/x
  3. Step 3: Cross multiply
    4,937.16x = 7,412.58 × 4,392.84
  4. Step 4: Simplify right side
    4,937.16x = 32,562,277.93
  5. Step 5: Solve for x
    x = 32,562,277.93/4,937.16
  6. Step 6: Final answer
    x = 6,595.35

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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.