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Finding the Fourth Proportional to 5,827.40, 8,728.76 and 4,712.03

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Solution

The fourth proportional to 5,827.40, 8,728.76 and 4,712.03 is: 7,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.40 : 8,728.76 = 4,712.03 : x
  2. Step 2: Convert to fraction form
    5,827.40/8,728.76 = 4,712.03/x
  3. Step 3: Cross multiply
    5,827.40x = 8,728.76 × 4,712.03
  4. Step 4: Simplify right side
    5,827.40x = 41,130,135.34
  5. Step 5: Solve for x
    x = 41,130,135.34/5,827.40
  6. Step 6: Final answer
    x = 7,058.07

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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.