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Finding the Fourth Proportional to 4,970.27, 6,862.37 and 4,549.00

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Solution

The fourth proportional to 4,970.27, 6,862.37 and 4,549.00 is: 6,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.27 : 6,862.37 = 4,549.00 : x
  2. Step 2: Convert to fraction form
    4,970.27/6,862.37 = 4,549.00/x
  3. Step 3: Cross multiply
    4,970.27x = 6,862.37 × 4,549.00
  4. Step 4: Simplify right side
    4,970.27x = 31,216,881.23
  5. Step 5: Solve for x
    x = 31,216,881.23/4,970.27
  6. Step 6: Final answer
    x = 6,280.73

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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.