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Finding the Fourth Proportional to 4,706.16, 7,058.40 and 2,756.40

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Solution

The fourth proportional to 4,706.16, 7,058.40 and 2,756.40 is: 4,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.16 : 7,058.40 = 2,756.40 : x
  2. Step 2: Convert to fraction form
    4,706.16/7,058.40 = 2,756.40/x
  3. Step 3: Cross multiply
    4,706.16x = 7,058.40 × 2,756.40
  4. Step 4: Simplify right side
    4,706.16x = 19,455,773.76
  5. Step 5: Solve for x
    x = 19,455,773.76/4,706.16
  6. Step 6: Final answer
    x = 4,134.11

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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.