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Finding the Fourth Proportional to 5,303.04, 7,954.56 and 2,378.40

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Solution

The fourth proportional to 5,303.04, 7,954.56 and 2,378.40 is: 3,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.04 : 7,954.56 = 2,378.40 : x
  2. Step 2: Convert to fraction form
    5,303.04/7,954.56 = 2,378.40/x
  3. Step 3: Cross multiply
    5,303.04x = 7,954.56 × 2,378.40
  4. Step 4: Simplify right side
    5,303.04x = 18,919,125.50
  5. Step 5: Solve for x
    x = 18,919,125.50/5,303.04
  6. Step 6: Final answer
    x = 3,567.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.