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Finding the Fourth Proportional to 4,596.48, 6,341.76 and 4,152.96

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Solution

The fourth proportional to 4,596.48, 6,341.76 and 4,152.96 is: 5,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.48 : 6,341.76 = 4,152.96 : x
  2. Step 2: Convert to fraction form
    4,596.48/6,341.76 = 4,152.96/x
  3. Step 3: Cross multiply
    4,596.48x = 6,341.76 × 4,152.96
  4. Step 4: Simplify right side
    4,596.48x = 26,337,075.61
  5. Step 5: Solve for x
    x = 26,337,075.61/4,596.48
  6. Step 6: Final answer
    x = 5,729.84

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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.