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Finding the Fourth Proportional to 4,307.75, 6,457.51 and 1,384.00

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Solution

The fourth proportional to 4,307.75, 6,457.51 and 1,384.00 is: 2,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.75 : 6,457.51 = 1,384.00 : x
  2. Step 2: Convert to fraction form
    4,307.75/6,457.51 = 1,384.00/x
  3. Step 3: Cross multiply
    4,307.75x = 6,457.51 × 1,384.00
  4. Step 4: Simplify right side
    4,307.75x = 8,937,161.55
  5. Step 5: Solve for x
    x = 8,937,161.55/4,307.75
  6. Step 6: Final answer
    x = 2,074.67

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