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Finding the Fourth Proportional to 4,957.76, 6,848.32 and 4,607.84

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Solution

The fourth proportional to 4,957.76, 6,848.32 and 4,607.84 is: 6,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.76 : 6,848.32 = 4,607.84 : x
  2. Step 2: Convert to fraction form
    4,957.76/6,848.32 = 4,607.84/x
  3. Step 3: Cross multiply
    4,957.76x = 6,848.32 × 4,607.84
  4. Step 4: Simplify right side
    4,957.76x = 31,555,962.83
  5. Step 5: Solve for x
    x = 31,555,962.83/4,957.76
  6. Step 6: Final answer
    x = 6,364.96

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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.