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Finding the Fourth Proportional to 4,702.40, 7,058.73 and 3,465.98

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Solution

The fourth proportional to 4,702.40, 7,058.73 and 3,465.98 is: 5,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.40 : 7,058.73 = 3,465.98 : x
  2. Step 2: Convert to fraction form
    4,702.40/7,058.73 = 3,465.98/x
  3. Step 3: Cross multiply
    4,702.40x = 7,058.73 × 3,465.98
  4. Step 4: Simplify right side
    4,702.40x = 24,465,417.01
  5. Step 5: Solve for x
    x = 24,465,417.01/4,702.40
  6. Step 6: Final answer
    x = 5,202.75

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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.