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Finding the Fourth Proportional to 5,303.84, 7,320.64 and 3,314.48

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Solution

The fourth proportional to 5,303.84, 7,320.64 and 3,314.48 is: 4,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.84 : 7,320.64 = 3,314.48 : x
  2. Step 2: Convert to fraction form
    5,303.84/7,320.64 = 3,314.48/x
  3. Step 3: Cross multiply
    5,303.84x = 7,320.64 × 3,314.48
  4. Step 4: Simplify right side
    5,303.84x = 24,264,114.87
  5. Step 5: Solve for x
    x = 24,264,114.87/5,303.84
  6. Step 6: Final answer
    x = 4,574.82

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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.