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Finding the Fourth Proportional to 5,303.40, 7,322.88 and 4,307.12

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Solution

The fourth proportional to 5,303.40, 7,322.88 and 4,307.12 is: 5,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.40 : 7,322.88 = 4,307.12 : x
  2. Step 2: Convert to fraction form
    5,303.40/7,322.88 = 4,307.12/x
  3. Step 3: Cross multiply
    5,303.40x = 7,322.88 × 4,307.12
  4. Step 4: Simplify right side
    5,303.40x = 31,540,522.91
  5. Step 5: Solve for x
    x = 31,540,522.91/5,303.40
  6. Step 6: Final answer
    x = 5,947.23

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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.