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Finding the Fourth Proportional to 4,658.51, 6,985.35 and 1,371.17

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Solution

The fourth proportional to 4,658.51, 6,985.35 and 1,371.17 is: 2,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.51 : 6,985.35 = 1,371.17 : x
  2. Step 2: Convert to fraction form
    4,658.51/6,985.35 = 1,371.17/x
  3. Step 3: Cross multiply
    4,658.51x = 6,985.35 × 1,371.17
  4. Step 4: Simplify right side
    4,658.51x = 9,578,119.82
  5. Step 5: Solve for x
    x = 9,578,119.82/4,658.51
  6. Step 6: Final answer
    x = 2,056.05

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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.