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Finding the Fourth Proportional to 4,894.96, 7,341.54 and 4,648.72

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Solution

The fourth proportional to 4,894.96, 7,341.54 and 4,648.72 is: 6,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.96 : 7,341.54 = 4,648.72 : x
  2. Step 2: Convert to fraction form
    4,894.96/7,341.54 = 4,648.72/x
  3. Step 3: Cross multiply
    4,894.96x = 7,341.54 × 4,648.72
  4. Step 4: Simplify right side
    4,894.96x = 34,128,763.83
  5. Step 5: Solve for x
    x = 34,128,763.83/4,894.96
  6. Step 6: Final answer
    x = 6,972.23

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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.