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Finding the Fourth Proportional to 4,658.49, 6,985.06 and 1,537.63

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Solution

The fourth proportional to 4,658.49, 6,985.06 and 1,537.63 is: 2,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.49 : 6,985.06 = 1,537.63 : x
  2. Step 2: Convert to fraction form
    4,658.49/6,985.06 = 1,537.63/x
  3. Step 3: Cross multiply
    4,658.49x = 6,985.06 × 1,537.63
  4. Step 4: Simplify right side
    4,658.49x = 10,740,460.12
  5. Step 5: Solve for x
    x = 10,740,460.12/4,658.49
  6. Step 6: Final answer
    x = 2,305.57

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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.