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Finding the Fourth Proportional to 6,461.48, 8,894.98 and 5,798.10

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Solution

The fourth proportional to 6,461.48, 8,894.98 and 5,798.10 is: 7,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.48 : 8,894.98 = 5,798.10 : x
  2. Step 2: Convert to fraction form
    6,461.48/8,894.98 = 5,798.10/x
  3. Step 3: Cross multiply
    6,461.48x = 8,894.98 × 5,798.10
  4. Step 4: Simplify right side
    6,461.48x = 51,573,983.54
  5. Step 5: Solve for x
    x = 51,573,983.54/6,461.48
  6. Step 6: Final answer
    x = 7,981.76

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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.