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Finding the Fourth Proportional to 4,303.53, 6,404.40 and 4,148.01

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Solution

The fourth proportional to 4,303.53, 6,404.40 and 4,148.01 is: 6,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.53 : 6,404.40 = 4,148.01 : x
  2. Step 2: Convert to fraction form
    4,303.53/6,404.40 = 4,148.01/x
  3. Step 3: Cross multiply
    4,303.53x = 6,404.40 × 4,148.01
  4. Step 4: Simplify right side
    4,303.53x = 26,565,515.24
  5. Step 5: Solve for x
    x = 26,565,515.24/4,303.53
  6. Step 6: Final answer
    x = 6,172.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.