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Finding the Fourth Proportional to 6,457.78, 8,925.96 and 4,701.70

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Solution

The fourth proportional to 6,457.78, 8,925.96 and 4,701.70 is: 6,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.78 : 8,925.96 = 4,701.70 : x
  2. Step 2: Convert to fraction form
    6,457.78/8,925.96 = 4,701.70/x
  3. Step 3: Cross multiply
    6,457.78x = 8,925.96 × 4,701.70
  4. Step 4: Simplify right side
    6,457.78x = 41,967,186.13
  5. Step 5: Solve for x
    x = 41,967,186.13/6,457.78
  6. Step 6: Final answer
    x = 6,498.70

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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.