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Finding the Fourth Proportional to 5,303.42, 7,319.04 and 3,065.40

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Solution

The fourth proportional to 5,303.42, 7,319.04 and 3,065.40 is: 4,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.42 : 7,319.04 = 3,065.40 : x
  2. Step 2: Convert to fraction form
    5,303.42/7,319.04 = 3,065.40/x
  3. Step 3: Cross multiply
    5,303.42x = 7,319.04 × 3,065.40
  4. Step 4: Simplify right side
    5,303.42x = 22,435,785.22
  5. Step 5: Solve for x
    x = 22,435,785.22/5,303.42
  6. Step 6: Final answer
    x = 4,230.44

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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.